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Finding the Third Proportional to 392,993.02 and 593,225.02

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Solution

The third proportional to 392,993.02 and 593,225.02 is: 895,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,993.02 : 593,225.02 = 593,225.02 : x
  2. Step 2: Convert to fraction form
    392,993.02/593,225.02 = 593,225.02/x
  3. Step 3: Cross multiply
    392,993.02x = 593,225.02 × 593,225.02
  4. Step 4: Simplify right side
    392,993.02x = 351,915,919,163.28
  5. Step 5: Solve for x
    x = 351,915,919,163.28/392,993.02
  6. Step 6: Final answer
    x = 895,476.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.